NON-VANISHING OF DIRICHLET L-FUNCTIONS AT THE CENTRAL POINT

DOI10.1142/S1793042112501060zbMath1292.11093arXiv1006.0930OpenAlexW2075633419MaRDI QIDQ3165306

Hung Manh Bui

Publication date: 26 October 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0930

zbMATH Keywords

special valueDirichlet \(L\)-seriesnon-vanishingmollifier method

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (10)

Dirichlet \(L\)-functions of quadratic characters of prime conductor at the central point ⋮ Breaking the \(\frac{1}{2}\)-barrier for the twisted second moment of Dirichlet \(L\)-functions ⋮ Effective moments of Dirichlet \(L\)-functions in Galois orbits ⋮ Average nonvanishing of Dirichlet \(L\)-functions at the central point ⋮ TWISTS OF AUTOMORPHIC L-FUNCTIONS AT THE CENTRAL POINT ⋮ Moments and one level density of certain unitary families of Hecke \(L\)-functions ⋮ Exceptional characters and nonvanishing of Dirichlet \(L\)-functions ⋮ Nonvanishing of Dirichlet \(L\)-functions. II ⋮ Simultaneous non-vanishing for Dirichlet \(L\)-functions ⋮ Hilbert spaces and low-lying zeros of \(L\)-functions

Cites Work

• Unnamed Item
• Zeros of the Riemann zeta function on the critical line
• Autocorrelation of ratios of \(L\)-functions
• Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
• Non-vanishing of high derivatives of Dirichlet \(L\)-functions at the central point
• More than 41% of the zeros of the zeta function are on the critical line
• Mean‐values of the Riemann zeta‐function
• Applications of theL-functions ratios conjectures
• CENTRAL VALUES OF DERIVATIVES OF DIRICHLET L-FUNCTIONS

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